42126741504 has 117 divisors (see below), whose sum is σ = 121798556373. Its totient is φ = 14029111296.

The previous prime is 42126741413. The next prime is 42126741529. The reversal of 42126741504 is 40514762124.

The square root of 42126741504 is 205248.

It is a perfect power (a square), and thus also a powerful number.

42126741504 is a `hidden beast` number, since 42 + 12 + 67 + 41 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19698683904 + 22428057600 = 140352^2 + 149760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39407082 + ... + 39408150.

Almost surely, 2^42126741504 is an apocalyptic number.

42126741504 is the 205248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42126741504

42126741504 is an abundant number, since it is smaller than the sum of its proper divisors (79671814869).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42126741504 is an frugal number, since it uses more digits than its factorization.

42126741504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 42126741504 by its sum of digits (36), we get a square (1516562694144 = 1231488²).

42126741504 divided by its sum of digits (36) gives a square (1170187264 = 34208²).

The spelling of 42126741504 in words is "forty-two billion, one hundred twenty-six million, seven hundred forty-one thousand, five hundred four".